The International Mathematical Virtual Institute (IMVI) promotes communication, cooperation and collaboration in the Balkans, elsewhere in Europe, and worldwide on research in (pure and applied) mathematics, history and philosophy of mathematics, and mathematics education through proceedings, journals, newsletters, books, the Internet, video-congresses, interactive CD-ROMs, virtual groups, and more. Its publications include the Journal of the International Mathematical Virtual Institute, Bulletin of the International Mathematical Virtual Institute, IMVI Open Mathematical Education Notes, and IMVI Open Mathematical Philosophy and History Communication. Freely downloadable articles include "A New Extension of Gegenbauer Matrix Polynomials and Their Properties," "The Effect of War Events on Mathematics Teaching and Learning," "Equi-Integrity Partitions of Graphs," "Dedekind Partial Groupoids for Anti-ordered Sets," "Computing the Scattering Number and the Toughness for Gear Graphs," "On Pairwise θ-Generalized Closed Sets," "Didactic Number Theory and Group Theory for School Teachers," "A Common Fixed Point Theorem in Non-Archimedean Menger PM-Spaces," and "Teaching Mathematics at Faculties of Engineering in Bosnia and Herzegovina Viewed through Teaching and Solving Extremal Problems - A Case Study."